Rational Expressions and Domain

The video tutorial explains how to divide and simplify a rational expression while stating the domain. It begins by identifying the domain constraints, ensuring the denominators are not zero. The tutorial then demonstrates the process of simplifying the expression by multiplying by the reciprocal and factoring terms. Finally, it concludes with the simplified expression and reiterates the domain constraint.

Why are rational expressions undefined when their denominators are zero?

• Because zero is a negative number

• Because zero is a prime number

• Because division by zero is undefined

• Because zero is an even number

What is the domain of the expression if p + 5 is in the denominator?

• All real numbers

• All real numbers except 5

• All real numbers except -5

• All integers

What is the first step in dividing rational expressions?

• Subtract the denominators

• Multiply by the reciprocal

• Divide the numerators

• Add the numerators

How do you simplify the expression 2p + 6?

• Factor out a 6

• Factor out a p

• Factor out a 2

• Factor out a 3

What is the result of factoring 4p + 20?

• 5 times (p + 4)

• p times (4 + 20)

• 2 times (p + 10)

• 4 times (p + 5)

What is the purpose of factoring the terms in the numerator and denominator?

• To divide them

• To simplify the expression

• To add them together

• To multiply them

What is the equivalent expression of 10 in terms of its prime factors?

• 1 times 10

• 2 times 5

• 5 times 2

• 10 times 1

What is the simplified form of the expression after canceling common factors?

• 4/5 times (p + 5)

• 5/4 times (p + 5)

• 5/4 times (p + 3)

• 4/5 times (p + 3)

What must be added to the final expression to ensure it is equivalent to the original?

• p cannot be equal to -5

• p cannot be equal to 10

• p cannot be equal to 0

• p cannot be equal to 5

What is the result of dividing 2 by 2 in the expression?

• 2

• 0

• 1

• Undefined